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Finding the Third Proportional to 108,519 and 225,354

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Solution

The third proportional to 108,519 and 225,354 is: 467,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,519 : 225,354 = 225,354 : x
  2. Step 2: Convert to fraction form
    108,519/225,354 = 225,354/x
  3. Step 3: Cross multiply
    108,519x = 225,354 × 225,354
  4. Step 4: Simplify right side
    108,519x = 50,784,425,316
  5. Step 5: Solve for x
    x = 50,784,425,316/108,519
  6. Step 6: Final answer
    x = 467,977.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.